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Finding the Third Proportional to 59,675.50 and 131,349

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Solution

The third proportional to 59,675.50 and 131,349 is: 289,106.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,675.50 : 131,349 = 131,349 : x
  2. Step 2: Convert to fraction form
    59,675.50/131,349 = 131,349/x
  3. Step 3: Cross multiply
    59,675.50x = 131,349 × 131,349
  4. Step 4: Simplify right side
    59,675.50x = 17,252,559,801
  5. Step 5: Solve for x
    x = 17,252,559,801/59,675.50
  6. Step 6: Final answer
    x = 289,106.25

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.